This machine is designed for winding mainly woven multiaxial mats made of such materials as glass, aramid, carbon fibres etc. Thanks to the wide possibilities of setting the winding parameters, it is possible to effect winding in the desired quality from a wide range of materials. By a suitable combination of central and surface winding and contact pressure, large diameter windings can be produced while maintaining their good structure. The combination of a sensitive dancer and a sufficiently strong compensator allows large winding forces to be used even for more sensitive materials and to produce very compact windings. At the same time, the sufficient sizing of the drives also makes it possible to work with robust materials by using considerable winding forces. If required, the winding machine can also be used for simple circumferential winding without the need to handle a separate winding shaft.